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Finding the Fourth Proportional to 187.06, 280.41 and 100.33

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Solution

The fourth proportional to 187.06, 280.41 and 100.33 is: 150.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.06 : 280.41 = 100.33 : x
  2. Step 2: Convert to fraction form
    187.06/280.41 = 100.33/x
  3. Step 3: Cross multiply
    187.06x = 280.41 × 100.33
  4. Step 4: Simplify right side
    187.06x = 28,133.54
  5. Step 5: Solve for x
    x = 28,133.54/187.06
  6. Step 6: Final answer
    x = 150.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.